Abstract
Acoustic computing devices, including switches, logic gates, differentiator and integrator, have attracted extensive attentions in both academic research and engineering. However, no scheme of acoustic computing device with more complex functionality has been proposed, such as ordinary differential equation (ODE) solver. Here, we propose an acoustic analog computing (AAC) system based on three cascaded metasurfaces to solve the nth-order ODEs. The metasurfaces are constructed with layered labyrinthine units featuring broad amplitude and phase modulation ranges. The simulated transmitted pressure of the AAC system agrees well with the theoretical solution of ODE, demonstrating the excellent functionality. Unlike the optical ODE solver based on differentiator or integrator, whose geometry becomes more complicated for solving higher order ODE, the proposed AAC system with fixed geometry can be designed for arbitrary nth-order ODE in principle. The proposal may find applications in various scenarios such as acoustic communication, analog computing and signal processing.
Highlights
Acoustic computing devices, including switches, logic gates, differentiator and integrator, have attracted extensive attentions in both academic research and engineering
Imposing the Fourier transform (FT) and the inverse FT (IFT), the equation solution can be expressed as g(y) = IFT{H(ky)FT[f (y)]}
We have developed an acoustic analog computing (AAC) system to solve the nth-order ordinary differential equation (ODE)
Summary
Acoustic computing devices, including switches, logic gates, differentiator and integrator, have attracted extensive attentions in both academic research and engineering. No acoustic ODE solver has been proposed, and the traditional optical design scheme involving differentiator or integrator suffers from the complicated geometry for high-order ODEs. the acoustic computing devices, such as diodes[8], switches[9] and logic gates[10,11], have been demonstrated based on phononic crystals or bulk metamaterials, which suffer from the limitations of simple functionality, high losses, and geometrical complexity. The acoustic computing devices, such as diodes[8], switches[9] and logic gates[10,11], have been demonstrated based on phononic crystals or bulk metamaterials, which suffer from the limitations of simple functionality, high losses, and geometrical complexity It is necessary for seeking a novel approach to design acoustic ODE solver which features fixed geometry and high efficiency. Numerical full-wave simulations show that the transmitted pressure of the AAC system agrees well with the theoretical solution of the ODE, confirming the excellent functionality of the acoustic AAC system
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